Impact of quantum information encoding and metallic leads on dynamical multipartite correlation formation in semiconductor quantum dot arrays

This study investigates quantum information scrambling (QIS) in a semiconductor quantum dot array. Starting with the 1D Transverse Field Ising model, we expand to more relevant quasi-2D frameworks such as the Heisenberg chain, super-extended Fermi-Hubbard (FH) and hardcore FH models. Assessing their relevance to semiconductor spin-qubit quantum computers, simulations of multipartite correlation formation examine qubit encoding strategies' fidelity, stability, and robustness, revealing trade-offs among these aspects. Furthermore, we investigate the weakly coupled metallic injector/detector (I/D) leads' significant impact on QIS behavior by employing multi-lead<b><i>N</i></b>-single orbital impurities weakly coupled Anderson models and studying the unitary evolution of the system. We observe sign flips in spatiotemporal tripartite mutual information which result in significant effects on dynamical correlation structures and their formation. Exploring carrier number effects, we identify optimal regions for QIS enhancement. Our findings emphasize the necessity of proper qubit encoding and I/D leads' influence on quantum information dynamics.